English

Integral points on generalised affine Ch\^atelet surfaces

Number Theory 2025-11-25 v3 Algebraic Geometry

Abstract

We show, conditionally on Schinzel's hypothesis, that the only obstruction to the integral Hasse principle for generalised affine Ch\^{a}telet surfaces is the Brauer--Manin one.

Keywords

Cite

@article{arxiv.1802.10012,
  title  = {Integral points on generalised affine Ch\^atelet surfaces},
  author = {Vladimir Mitankin},
  journal= {arXiv preprint arXiv:1802.10012},
  year   = {2025}
}

Comments

17 pages, submitted

R2 v1 2026-06-23T00:35:28.115Z